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Factor polynomial:
x+9*x
x^8+x^6-92*x^4+9*x^2+81
x^8-x^6-4*x^2-16
x^8-x^6
Least common denominator:
tan(x/3)^2*(1+tan(x/3)^2)
tan(x/2)/(x^2+x-2)
tan(x^2)/(x*log(2))-x/(sqrt(x^2)*sqrt(1-x^2))+2*x*(1+tan(x^2)^2)*log(x)/log(2)
tan(x)/(2*tan(x)^2+2)+tan(x)-(3*x)/2
Factor squared:
y^2-9*y*t-5*t^2
-y^2+9*y*t+3*t^2
-y^2+9*y*b-b^2
-y^2-9*y-4
How do you in partial fractions?:
(x^3+2)/(x^3-4x)
(C^2-5c)/(c^2-25)
(x^(4)-45x^(2)+324)/(x^(2)+3x-18)
x^3/(x-2)
Identical expressions
x^ eight -x^ six - four *x^ two - sixteen
x to the power of 8 minus x to the power of 6 minus 4 multiply by x squared minus 16
x to the power of eight minus x to the power of six minus four multiply by x to the power of two minus sixteen
x8-x6-4*x2-16
x⁸-x⁶-4*x²-16
x to the power of 8-x to the power of 6-4*x to the power of 2-16
x^8-x^6-4x^2-16
x8-x6-4x2-16
Similar expressions
x^8-x^6+4*x^2-16
x^8+x^6-4*x^2-16
x^8-x^6-4*x^2+16

Expression simplification/ Factorization polynomials/ x^8-x^6-4*x^2-16

Factor polynomial x^8-x^6-4*x^2-16

The solution

You have entered [src]

 8    6      2     
x  - x  - 4*x  - 16

$$\left(- 4 x^{2} + \left(x^{8} - x^{6}\right)\right) - 16$$

x^8 - x^6 - 4*x^2 - 16

General simplification [src]

       8    6      2
-16 + x  - x  - 4*x

$$x^{8} - x^{6} - 4 x^{2} - 16$$

-16 + x^8 - x^6 - 4*x^2

Factorization [src]

                        /         ____________\ /         ____________\ /         ____________\ /         ____________\                          
                        |        /       ____ | |        /       ____ | |        /       ____ | |        /       ____ |                          
                        |       /  1   \/ 17  | |       /  1   \/ 17  | |       /  1   \/ 17  | |       /  1   \/ 17  |                          
(x + 1 + I)*(x + 1 - I)*|x +   /   - - ------ |*|x -   /   - - ------ |*|x +   /   - + ------ |*|x -   /   - + ------ |*(x + -1 + I)*(x + -1 - I)
                        \    \/    2     2    / \    \/    2     2    / \    \/    2     2    / \    \/    2     2    /

$$\left(x + \left(1 - i\right)\right) \left(x + \left(1 + i\right)\right) \left(x + \sqrt{\frac{1}{2} - \frac{\sqrt{17}}{2}}\right) \left(x - \sqrt{\frac{1}{2} - \frac{\sqrt{17}}{2}}\right) \left(x + \sqrt{\frac{1}{2} + \frac{\sqrt{17}}{2}}\right) \left(x - \sqrt{\frac{1}{2} + \frac{\sqrt{17}}{2}}\right) \left(x + \left(-1 + i\right)\right) \left(x + \left(-1 - i\right)\right)$$

(((((((x + 1 + i)*(x + 1 - i))*(x + sqrt(1/2 - sqrt(17)/2)))*(x - sqrt(1/2 - sqrt(17)/2)))*(x + sqrt(1/2 + sqrt(17)/2)))*(x - sqrt(1/2 + sqrt(17)/2)))*(x - 1 + i))*(x - 1 - i)

Combining rational expressions [src]

       2 /      4 /      2\\
-16 + x *\-4 + x *\-1 + x //

$$x^{2} \left(x^{4} \left(x^{2} - 1\right) - 4\right) - 16$$

-16 + x^2*(-4 + x^4*(-1 + x^2))

Numerical answer [src]

-16.0 + x^8 - x^6 - 4.0*x^2

-16.0 + x^8 - x^6 - 4.0*x^2

Powers [src]

       8    6      2
-16 + x  - x  - 4*x

$$x^{8} - x^{6} - 4 x^{2} - 16$$

-16 + x^8 - x^6 - 4*x^2

Common denominator [src]

       8    6      2
-16 + x  - x  - 4*x

$$x^{8} - x^{6} - 4 x^{2} - 16$$

-16 + x^8 - x^6 - 4*x^2

Assemble expression [src]

       8    6      2
-16 + x  - x  - 4*x

$$x^{8} - x^{6} - 4 x^{2} - 16$$

-16 + x^8 - x^6 - 4*x^2

Combinatorics [src]

/      4    2\ /     2      \ /     2      \
\-4 + x  - x /*\2 + x  - 2*x/*\2 + x  + 2*x/

$$\left(x^{2} - 2 x + 2\right) \left(x^{2} + 2 x + 2\right) \left(x^{4} - x^{2} - 4\right)$$

(-4 + x^4 - x^2)*(2 + x^2 - 2*x)*(2 + x^2 + 2*x)

Trigonometric part [src]

       8    6      2
-16 + x  - x  - 4*x

$$x^{8} - x^{6} - 4 x^{2} - 16$$

-16 + x^8 - x^6 - 4*x^2

Rational denominator [src]

       8    6      2
-16 + x  - x  - 4*x

$$x^{8} - x^{6} - 4 x^{2} - 16$$

-16 + x^8 - x^6 - 4*x^2

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Identical expressions

Similar expressions

Factor polynomial x^8-x^6-4*x^2-16

The solution